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Finding the Fourth Proportional to 3,181.53, 4,389.75 and 1,854.48

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Solution

The fourth proportional to 3,181.53, 4,389.75 and 1,854.48 is: 2,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.53 : 4,389.75 = 1,854.48 : x
  2. Step 2: Convert to fraction form
    3,181.53/4,389.75 = 1,854.48/x
  3. Step 3: Cross multiply
    3,181.53x = 4,389.75 × 1,854.48
  4. Step 4: Simplify right side
    3,181.53x = 8,140,703.58
  5. Step 5: Solve for x
    x = 8,140,703.58/3,181.53
  6. Step 6: Final answer
    x = 2,558.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.